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113140104120 = 23325734305179
BaseRepresentation
bin110100101011110101…
…1001111101110111000
3101211000221001210102200
41221113223033232320
53323202331312440
6123550441030200
711113501005651
oct1512753175670
9354027053380
10113140104120
1143a8970388a
1219b16485360
13a890c26c94
14569425a528
152e22b13c30
hex1a57acfbb8

113140104120 has 96 divisors (see below), whose sum is σ = 372742484400. Its totient is φ = 29757390336.

The previous prime is 113140104107. The next prime is 113140104169. The reversal of 113140104120 is 21401041311.

113140104120 is a `hidden beast` number, since 113 + 140 + 1 + 0 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113140104093 and 113140104102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2126310 + ... + 2178869.

Almost surely, 2113140104120 is an apocalyptic number.

113140104120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113140104120 is an abundant number, since it is smaller than the sum of its proper divisors (259602380280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113140104120 is a wasteful number, since it uses less digits than its factorization.

113140104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305269 (or 4305262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 113140104120 its reverse (21401041311), we get a palindrome (134541145431).

The spelling of 113140104120 in words is "one hundred thirteen billion, one hundred forty million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 4305179 8610358 12915537 17220716 21525895 25831074 34441432 38746611 43051790 51662148 64577685 77493222 86103580 103324296 129155370 154986444 172207160 193733055 258310740 309972888 314278067 387466110 516621480 628556134 774932220 942834201 1257112268 1549864440 1571390335 1885668402 2514224536 2828502603 3142780670 3771336804 4714171005 5657005206 6285561340 7542673608 9428342010 11314010412 12571122680 14142513015 18856684020 22628020824 28285026030 37713368040 56570052060 113140104120